SOLUTION: How do you determine the equation of a line that has the same y int. as the line y=8x+6 and is perpendicular to the line 4x+7y-3=0

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Question 703250: How do you determine the equation of a line that has the same y int. as the line y=8x+6 and is perpendicular to the line 4x+7y-3=0
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do you determine the equation of a line that has the same y int.
as the line y=8x+6?
Any equation in the form y = mx+6 has a y intercept of 6
:
and is perpendicular to the line 4x+7y-3=0
Put the equation into slope intercept form to find the slope
4x + 7y - 3 = 0
7y = -4x + 3
y = -4%2F7x + 3%2F7
:
Slope relationship between perpendicular lines, m1*m2 = -1
m1 = -4%2F7 find m2
-4%2F7 * m2 = -1
multiply both sides by -7%2F4
m2 = 7%2F4
:
The equation of the perpendicular line with a y intercept of 6:
y = 7%2F4x + 6